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Finding the Fourth Proportional to 5,302.72, 7,317.64 and 3,064.53

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Solution

The fourth proportional to 5,302.72, 7,317.64 and 3,064.53 is: 4,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.72 : 7,317.64 = 3,064.53 : x
  2. Step 2: Convert to fraction form
    5,302.72/7,317.64 = 3,064.53/x
  3. Step 3: Cross multiply
    5,302.72x = 7,317.64 × 3,064.53
  4. Step 4: Simplify right side
    5,302.72x = 22,425,158.58
  5. Step 5: Solve for x
    x = 22,425,158.58/5,302.72
  6. Step 6: Final answer
    x = 4,229.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.